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Dynamic Reductions for Model Checking Concurrent Software

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Verification, Model Checking, and Abstract Interpretation (VMCAI 2017)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 10145))

Abstract

Symbolic model checking of parallel programs stands and falls with effective methods of dealing with the explosion of interleavings. We propose a dynamic reduction technique to avoid unnecessary interleavings. By extending Lipton’s original work with a notion of bisimilarity, we accommodate dynamic transactions, and thereby reduce dependence on the accuracy of static analysis, which is a severe bottleneck in other reduction techniques.

The combination of symbolic model checking and dynamic reduction techniques has proven to be challenging in the past. Our generic reduction theorem nonetheless enables us to derive an efficient symbolic encoding, which we implemented for IC3 and BMC. The experiments demonstrate the power of dynamic reduction on several case studies and a large set of SVCOMP benchmarks.

This work is supported by the Austrian National Research Network S11403-N23 (RiSE) of the Austrian Science Fund (FWF) and by the Vienna Science and Technology Fund (WWTF) through grant VRG11-005.

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References

  1. Alur, R., Brayton, R.K., Henzinger, T.A., Qadeer, S., Rajamani, S.K.: Partial-order reduction in symbolic state space exploration. In: Grumberg, O. (ed.) CAV 1997. LNCS, vol. 1254, pp. 340–351. Springer, Heidelberg (1997). doi:10.1007/3-540-63166-6_34

    Chapter  Google Scholar 

  2. Beyer, D.: The software verification competition website. http://sv-comp.sosy-lab.org/2016/

  3. Beyer, D.: Reliable and reproducible competition results with benchexec and witnesses (Report on SV-COMP 2016). In: Chechik, M., Raskin, J.-F. (eds.) TACAS 2016. LNCS, vol. 9636, pp. 887–904. Springer, Heidelberg (2016). doi:10.1007/978-3-662-49674-9_55

    Chapter  Google Scholar 

  4. Beyer, D., Cimatti, A., Griggio, A., Erkan Keremoglu, M., Sebastiani, R.: Software model checking via large-block encoding. In: FMCAD, pp. 25–32. IEEE (2009)

    Google Scholar 

  5. Beyer, D., Henzinger, T.A., Théoduloz, G.: Configurable software verification: concretizing the convergence of model checking and program analysis. In: Damm, W., Hermanns, H. (eds.) CAV 2007. LNCS, vol. 4590, pp. 504–518. Springer, Heidelberg (2007). doi:10.1007/978-3-540-73368-3_51

    Chapter  Google Scholar 

  6. Birgmeier, Johannes, Bradley, Aaron, R., Weissenbacher, Georg: Counterexample to induction-guided abstraction-refinement (CTIGAR). In: Biere, Armin, Bloem, Roderick (eds.) CAV 2014. LNCS, vol. 8559, pp. 831–848. Springer, Cham (2014). doi:10.1007/978-3-319-08867-9_55

    Google Scholar 

  7. Bondy, J.A., Murty, U.S.R.: Graph Theory with Applications, vol. 290. Macmillan, London (1976)

    Book  MATH  Google Scholar 

  8. Bradley, A.R.: SAT-based model checking without unrolling. In: Jhala, R., Schmidt, D. (eds.) VMCAI 2011. LNCS, vol. 6538, pp. 70–87. Springer, Heidelberg (2011). doi:10.1007/978-3-642-18275-4_7

    Chapter  Google Scholar 

  9. Cimatti, A., Griggio, A., Mover, S., Tonetta, S.: IC3 modulo theories via implicit predicate abstraction. In: Ábrahám, E., Havelund, K. (eds.) TACAS 2014. LNCS, vol. 8413, pp. 46–61. Springer, Heidelberg (2014). doi:10.1007/978-3-642-54862-8_4

    Chapter  Google Scholar 

  10. Cohen, E., Lamport, L.: Reduction in TLA. In: Sangiorgi, D., Simone, R. (eds.) CONCUR 1998. LNCS, vol. 1466, pp. 317–331. Springer, Heidelberg (1998). doi:10.1007/BFb0055631

    Chapter  Google Scholar 

  11. Dimitrov, D., et al.: Commutativity race detection. ACM SIGPLAN Not. 49(6), 305–315 (2014)

    Article  Google Scholar 

  12. Doeppner Jr., T.W.: Parallel program correctness through refinement. In: POPL, pp. 155–169. ACM (1977)

    Google Scholar 

  13. Dwyer, M.B., Robby, J.H., Ranganath, V.P.: Exploiting object escape, locking information in partial-order reductions for concurrent object-oriented programs. FMSD 25(2–3), 199–240 (2004)

    MATH  Google Scholar 

  14. Elmas, T., Qadeer, S., Tasiran, S.: A calculus of atomic actions. In: POPL, pp. 2–15. ACM (2009)

    Google Scholar 

  15. Flanagan, C., Godefroid, P.: Dynamic partial-order reduction for model checking software. In: POPL, vol. 40, no. 1, pp. 110–121. ACM (2005)

    Google Scholar 

  16. Flanagan, C., Qadeer, S.: Transactions for software model checking. ENTCS 89(3), 518–539 (2003). Software Model Checking

    MATH  Google Scholar 

  17. Flanagan, C., Qadeer, S.: A type and effect system for atomicity. In: PLDI, pp. 338–349. ACM (2003)

    Google Scholar 

  18. Günther, H., Laarman, A., Sokolova, A., Weissenbacher, G.: Dynamic reductions for model checking concurrent software (2016). https://arxiv.org/abs/1611.09318

  19. Godefroid, P. (ed.): Partial-Order Methods for the Verification of Concurrent Systems. LNCS, vol. 1032. Springer, Heidelberg (1996)

    MATH  Google Scholar 

  20. Gribomont, E.P.: Atomicity refinement and trace reduction theorems. In: Alur, R., Henzinger, T.A. (eds.) CAV 1996. LNCS, vol. 1102, pp. 311–322. Springer, Heidelberg (1996). doi:10.1007/3-540-61474-5_79

    Chapter  Google Scholar 

  21. Grumberg, O., Lerda, F., Strichman, O., Theobald, M.: Proof-guided under approximation-widening for multi-process systems. In: POPL, pp. 122–131. ACM (2005)

    Google Scholar 

  22. Gueta, G., Flanagan, C., Yahav, E., Sagiv, M.: Cartesian partial-order reduction. In: Bošnački, D., Edelkamp, S. (eds.) SPIN 2007. LNCS, vol. 4595, pp. 95–112. Springer, Heidelberg (2007). doi:10.1007/978-3-540-73370-6_8

    Chapter  Google Scholar 

  23. Günther, H.: The Vienna verification tool website. http://vvt.forsyte.at/. Accessed 21 Nov 2016

  24. Günther, H., Laarman, A., Weissenbacher, G.: Vienna verification tool: IC3 for parallel software. In: Chechik, M., Raskin, J.-F. (eds.) TACAS 2016. LNCS, vol. 9636, pp. 954–957. Springer, Heidelberg (2016). doi:10.1007/978-3-662-49674-9_69

    Chapter  Google Scholar 

  25. Günther, H., Weissenbacher, G.: Incremental bounded software model checking. In: SPIN, pp. 40–47. ACM (2014)

    Google Scholar 

  26. Henzinger, T.A., Jhala, R., Majumdar, R., Sutre, G.: Lazy abstraction. In: POPL, pp. 58–70. ACM (2002)

    Google Scholar 

  27. Kahlon, V., Gupta, A., Sinha, N.: Symbolic model checking of concurrent programs using partial orders and on-the-fly transactions. In: Ball, T., Jones, R.B. (eds.) CAV 2006. LNCS, vol. 4144, pp. 286–299. Springer, Heidelberg (2006). doi:10.1007/11817963_28

    Chapter  Google Scholar 

  28. Kahlon, V., Wang, C., Gupta, A.: Monotonic partial order reduction: an optimal symbolic partial order reduction technique. In: Bouajjani, A., Maler, O. (eds.) CAV 2009. LNCS, vol. 5643, pp. 398–413. Springer, Heidelberg (2009). doi:10.1007/978-3-642-02658-4_31

    Chapter  Google Scholar 

  29. Kurshan, R., Levin, V., Minea, M., Peled, D., Yenigün, H.: Static partial order reduction. In: Steffen, B. (ed.) TACAS 1998. LNCS, vol. 1384, pp. 345–357. Springer, Heidelberg (1998). doi:10.1007/BFb0054182

    Chapter  Google Scholar 

  30. Laarman, A.W., van de Pol, J.C., Weber, M.: Boosting multi-core reachability performance with shared hash tables. In: FMCAD, pp. 247–255. IEEE-CS (2010)

    Google Scholar 

  31. Lamport, L., Schneider, F.B.: Pretending atomicity. Technical report, Cornell University (1989)

    Google Scholar 

  32. Lipton, R.J.: Reduction: a method of proving properties of parallel programs. Commun. ACM 18(12), 717–721 (1975)

    Article  MathSciNet  MATH  Google Scholar 

  33. McMillan, K.L.: Lazy abstraction with interpolants. In: Ball, T., Jones, R.B. (eds.) CAV 2006. LNCS, vol. 4144, pp. 123–136. Springer, Heidelberg (2006). doi:10.1007/11817963_14

    Chapter  Google Scholar 

  34. Milner, R.: Communication and Concurrency. Prentice Hall, New York (1989)

    MATH  Google Scholar 

  35. Nalumasu, R., Gopalakrishnan, G.: An efficient partial order reduction algorithm with an alternative proviso implementation. FMSD 20(3), 231–247 (2002)

    MATH  Google Scholar 

  36. Papadimitriou, C.: The Theory of Database Concurrency Control. Principles of Computer Science Series. Computer Science Press, San Jose (1986)

    MATH  Google Scholar 

  37. Park, D.: Concurrency and automata on infinite sequences. In: Deussen, P. (ed.) GI-TCS 1981. LNCS, vol. 104, pp. 167–183. Springer, Berlin, Heidelberg (1981). doi:10.1007/BFb0017309

    Chapter  Google Scholar 

  38. Peled, D.: All from one, one for all: on model checking using representatives. In: Courcoubetis, C. (ed.) CAV 1993. LNCS, vol. 697, pp. 409–423. Springer, Heidelberg (1993). doi:10.1007/3-540-56922-7_34

    Chapter  Google Scholar 

  39. Popeea, C., Rybalchenko, A., Wilhelm, A.: Reduction for compositional verification of multi-threaded programs. In: FMCAD, pp. 187–194. IEEE (2014)

    Google Scholar 

  40. Stoller, S.D., Cohen, E.: Optimistic synchronization-based state-space reduction. In: Garavel, H., Hatcliff, J. (eds.) TACAS 2003. LNCS, vol. 2619, pp. 489–504. Springer, Heidelberg (2003). doi:10.1007/3-540-36577-X_36

    Chapter  Google Scholar 

  41. Valmari, A.: Eliminating redundant interleavings during concurrent program verification. In: Odijk, E., Rem, M., Syre, J.-C. (eds.) PARLE 1989. LNCS, vol. 366, pp. 89–103. Springer, Heidelberg (1989). doi:10.1007/3-540-51285-3_35

    Chapter  Google Scholar 

  42. Valmari, A.: Stubborn sets for reduced state space generation. In: Rozenberg, G. (ed.) ICATPN 1989. LNCS, vol. 483, pp. 491–515. Springer, Heidelberg (1991). doi:10.1007/3-540-53863-1_36

    Chapter  Google Scholar 

  43. Wang, C., Yang, Z., Kahlon, V., Gupta, A.: Peephole partial order reduction. In: Ramakrishnan, C.R., Rehof, J. (eds.) TACAS 2008. LNCS, vol. 4963, pp. 382–396. Springer, Heidelberg (2008). doi:10.1007/978-3-540-78800-3_29

    Chapter  Google Scholar 

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Authors and Affiliations

  1. TU Wien, Vienna, Austria

    Henning Günther, Alfons Laarman & Georg Weissenbacher

  2. University of Salzburg, Salzburg, Austria

    Ana Sokolova

Authors
  1. Henning Günther
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  2. Alfons Laarman
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  3. Ana Sokolova
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  4. Georg Weissenbacher
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Correspondence to Alfons Laarman .

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Editors and Affiliations

  1. IRIF, Université Paris Diderot, Paris, France

    Ahmed Bouajjani

  2. VERIMAG, CNRS & Université Grenoble Alpes, Grenoble, France

    David Monniaux

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Günther, H., Laarman, A., Sokolova, A., Weissenbacher, G. (2017). Dynamic Reductions for Model Checking Concurrent Software. In: Bouajjani, A., Monniaux, D. (eds) Verification, Model Checking, and Abstract Interpretation. VMCAI 2017. Lecture Notes in Computer Science(), vol 10145. Springer, Cham. https://doi.org/10.1007/978-3-319-52234-0_14

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  • DOI: https://doi.org/10.1007/978-3-319-52234-0_14

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